104,002 views
35 votes
35 votes
Find the values of x and y.

Find the values of x and y.-example-1
User Ptikobj
by
3.2k points

1 Answer

25 votes
25 votes

Answer:

x = y = 60

Explanation:

You want the values of angles marked x° and y° in the given figure involving equilateral triangles and parallel lines.

Triangles

All of the triangles in the figure are congruent equilateral triangles. Each of their internal angle measures is 60°.

x° = y° = 60°

__

Additional comment

The (inside) base angles of the outside two triangles are alternate interior angles with respect to the top two angles of the center triangle. Hence they are congruent. The center triangle is marked as equilateral, so its angles are all 60°. That means all of the acute angles in the figure are 60°.

User Anuruddha
by
2.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.